Final Drive Squeaking, Splines need moly??

I posted this in the maintenance (lube and oil) thread already but figured id give this one a go to.

Hello all,

So i think I've looked over the whole dang internet
and looked at countless videos about this but want your opinions. My
final drive, once warm, makes a speaking noise ( like an old hardwood
floor) only at one quarter of the wheel rotation. Most sites and forums
say that the splines are dry and need to be slathered with moly lube,
but there are many other opinions out there as well. Here is the link to
few videos i made of the noise.